Question

Calcule N=3/4.l og1/2 8 +1/2. log 8 1/2

Answer 1

N=3/4.l og1/2 8 +1/2. log 8 1/2log1/2 = x ==> 8^x = 1/2==> (2^3)^x = 2^-1 ==> 3x = -1 ==> x = -1/3      
    8
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log 8 = x ==> 1/2^x = 8==> (2^-1)^x = 2^3 ==> -x = 3(-1) ==> x = - 3      
   1/2
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3 .(-1)  + 1. (-3)
4    3       2    

- 1 - 3 ==> - 1 - 6 ==> - 7
  4   2               4            4